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Finding the Fourth Proportional to 5,602.16, 8,404.46 and 1,706.47

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Solution

The fourth proportional to 5,602.16, 8,404.46 and 1,706.47 is: 2,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.16 : 8,404.46 = 1,706.47 : x
  2. Step 2: Convert to fraction form
    5,602.16/8,404.46 = 1,706.47/x
  3. Step 3: Cross multiply
    5,602.16x = 8,404.46 × 1,706.47
  4. Step 4: Simplify right side
    5,602.16x = 14,341,916.83
  5. Step 5: Solve for x
    x = 14,341,916.83/5,602.16
  6. Step 6: Final answer
    x = 2,560.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.